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Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime

2012/05/31 by Takahiro Morimoto, Mikito Koshino, Hideo Aoki · 2 citations
Chemistry · Materials Science · Physics and Astronomy · #Bilayer #Bilayer graphene #Chemistry #Condensed matter physics #Dirac (video compression format) #Electron #Electronic band structure #Faraday effect #Graphene #Graphene research and applications #Image warping #Landau quantization #Magnetic field #Materials science #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum optics and atomic interactions #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.86.155426

published as Phys. Rev. B 86, 155426 (2012) · 10 pages, 7 figures

openalex publication_date 2012/10/15 · arxiv created 2012/10/16 · arxiv updated 2012/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Optical Hall conductivity, as directly related to Faraday rotation, is theoretically studied for bilayer and trilayer graphene. In bilayer graphene, the trigonal warping of the band dispersion greatly affects the resonance structures in Faraday rotation not only in the low-energy region where small Dirac cones emerge, but also in the higher-energy parabolic bands as a sequence of satellite resonances. In ABA-stacked trilayer, the resonance spectrum is a superposition of effective monolayer and bilayer contributions with band gaps, while ABC trilayer exhibits a distinct spectrum peculiar to the cubic-dispersed bands with a strong trigonal warping, where the signals associated with low-energy Dirac cones should be directly observable owing to a large Lifshitz transition energy (\ensuremath∼10\phantom\rule0.28em0exmeV).

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